Jeffersonville is a home rule-class city in Montgomery County, Kentucky, in the United States. The population was 1,708 as of the 2020 census, …Jeffersonville is a home rule-class city in Montgomery County, Kentucky, in the United States. The population was 1,708 as of the 2020 census, up from 1,506 in 2010. It is part of the Mount Sterling micropolitan area.